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Pedro, a costume designer for the Booneville City Opera, is making costumes for the chorus members in an upcoming performance. While costuming this group of singers, Pedro must keep costs below $1,800\$1,800. Male costumes cost $12\$12 to make and female costumes cost $37\$37.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of male costumes\newliney=y = the number of female costumes\newlineChoices:\newline(A) 37x + 12y < 1,800\newline(B) 37x + 12y > 1,800\newline(C) 12x + 37y < 1,800\newline(D) 12x + 37y > 1,800

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Q. Pedro, a costume designer for the Booneville City Opera, is making costumes for the chorus members in an upcoming performance. While costuming this group of singers, Pedro must keep costs below $1,800\$1,800. Male costumes cost $12\$12 to make and female costumes cost $37\$37.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of male costumes\newliney=y = the number of female costumes\newlineChoices:\newline(A) 37x+12y<1,80037x + 12y < 1,800\newline(B) 37x+12y>1,80037x + 12y > 1,800\newline(C) 12x+37y<1,80012x + 37y < 1,800\newline(D) 12x+37y>1,80012x + 37y > 1,800
  1. Determine Cost Male Costume: Determine the cost of one male costume and the variable associated with it.\newlineCost of one male costume: $12\$12\newlineNumber of male costumes: xx\newlineTotal cost for male costumes: 12×x=12x12 \times x = 12x
  2. Determine Cost Female Costume: Determine the cost of one female costume and the variable associated with it.\newlineCost of one female costume: $37\$37\newlineNumber of female costumes: yy\newlineTotal cost for female costumes: 37×y=37y37 \times y = 37y
  3. Combine Total Costs: Combine the costs for both male and female costumes to find the total cost.\newlineTotal cost for all costumes: 12x12x (for male costumes) + 37y37y (for female costumes) = 12x+37y12x + 37y
  4. Cost Constraint Inequality: Given the cost constraint, the total cost must be less than or equal to $1,800\$1,800. Therefore, the inequality that represents this situation is: 12x+37y≤1,80012x + 37y \leq 1,800 However, the choices provided do not include the ＂less than or equal to＂ option, so we must choose the ＂less than＂ option that best fits the situation.
  5. Select Correct Inequality: Select the correct inequality from the given choices that represents the cost constraint.\newlineThe correct inequality is (C) 12x + 37y < 1,800, which indicates that the total cost of the costumes must be less than $1,800\$1,800 to meet the budget.

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